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crimeas [40]
4 years ago
12

f the line passing through the points (1, a) and (5, −2) is parallel to the line passing through the points (2, 8) and (−5, a +

7), what is the value of a?
Mathematics
1 answer:
aleksandrvk [35]4 years ago
7 0

Answer:

a=-6

Step-by-step explanation:

Line 1:  (1, a) and (5, −2)

slope of the   line is

slope = \frac{y_2-y_1}{x_2-x_1} =\frac{-2-a}{5-1} =\frac{-2-a}{4}

Line 2:  (2, 8) and (−5, a + 7)

slope of the   line is

slope = \frac{y_2-y_1}{x_2-x_1} =\frac{a+7-8}{-5-2} =\frac{a-1}{-7}

when the lines are parallel then slopes are equal

\frac{a-1}{-7} =\frac{-2-a}{4}

cross multiply it

4(a-1)=-7(-2-a)

4a-4=14+7a

subtract 4a from both sides

-4=14+3a

-18=+3a

divide both sides by 3

a=-6

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Write the five term sequence that would represent each recursive rule f(x) = f(x-1) -7; f(2) = 12
barxatty [35]

<u>Answer: </u>

Required five terms of sequence are 19 , 12 , 5 , -2 and -9 .

<u> Solution: </u>

Need to find the five terms of the sequence.

Given recursive rule is f(x) = f(x-1) -7

Substituting x = 2 , f(2) = f(2-1)-7

= f(2) = f(1) – 7    ------(1)

Also given that f(2) = 12.  

On substituting the given value of f(2) in eq (1) we get

12 = f(1) – 7

f(1) = 12 + 7 = 19

Using given recursive rule and given value of f(2) calculating f(3)

Substituting x = 3 ,  

f(3) = f(3-1) – 7  

= f(2) – 7  

= 12 – 7  

= 5

Using given recursive rule and calculated  value of f(3) calculating f(4)

Substituting x = 4,  

f(4) = f(4-1) – 7  

= f(3) – 7  

= 5– 7  

= -2

Using given recursive rule and calculated  value of f(4) calculating f(5)

Substituting x = 5,  

f(5) = f(5-1) – 7  

= f(4) – 7  

= -2– 7  

= -9

Hence required five terms of sequence are 19 , 12 , 5 , -2 and -9 .

8 0
3 years ago
Can someone please help me with the last 3
mash [69]

Answer:

its pretty complicated

Step-by-step explanation:

4 0
3 years ago
A farm produces an average of 17.1 liters of milk per day. About how many days will it take to produce 200 liters of milk? A. ab
Aleks04 [339]
Average produce milk per day 17.1 liters
to produce 200 liters should be:

17.1x = 200
x = 200/17.1
x = 11,69

it close to 12. the answer is a. about 12 days

hope this help
6 0
3 years ago
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Grace [21]

Answer: 70ᴼ

Step-by-step explanation:

The triangles are vertical so their angle measures are congruent.

The angles of a triangle add to equal 180ᴼ.

55 + 55 = 110

180 - 110 = 70

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Question 2 of 10
iVinArrow [24]

Answer:

option C is correct

x^4 - x^2 - 2.5

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